10087440 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2444800.

The previous prime is 10087411. The next prime is 10087459. The reversal of 10087440 is 4478001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10087440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730 + ... + 4550.

Almost surely, 2^10087440 is an apocalyptic number.

10087440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10087440 is an abundant number, since it is smaller than the sum of its proper divisors (24035376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10087440 is a wasteful number, since it uses less digits than its factorization.

10087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10087440 is about 3176.0730470189. The cubic root of 10087440 is about 216.0695934873.

It can be divided in two parts, 1008 and 7440, that added together give a palindrome (8448).

The spelling of 10087440 in words is "ten million, eighty-seven thousand, four hundred forty".